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   <div id="projectname">Jamming
   &#160;<span id="projectnumber">0.0.1</span>
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   <div id="projectbrief">An data structure and algorithm template library for quick C++ programming</div>
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<div class="title">geometric/point.h</div>  </div>
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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment"> * point.h</span>
<a name="l00003"></a>00003 <span class="comment"> * This file is part of Jamming</span>
<a name="l00004"></a>00004 <span class="comment"> *</span>
<a name="l00005"></a>00005 <span class="comment"> * Copyright (C) 2012 - Yi</span>
<a name="l00006"></a>00006 <span class="comment"> *</span>
<a name="l00007"></a>00007 <span class="comment"> * Jamming is free software; you can redistribute it and/or modify</span>
<a name="l00008"></a>00008 <span class="comment"> * it under the terms of the GNU General Public License as published by</span>
<a name="l00009"></a>00009 <span class="comment"> * the Free Software Foundation; either version 2 of the License, or</span>
<a name="l00010"></a>00010 <span class="comment"> * (at your option) any later version.</span>
<a name="l00011"></a>00011 <span class="comment"> *</span>
<a name="l00012"></a>00012 <span class="comment"> * Jamming is distributed in the hope that it will be useful,</span>
<a name="l00013"></a>00013 <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00014"></a>00014 <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span>
<a name="l00015"></a>00015 <span class="comment"> * GNU General Public License for more details.</span>
<a name="l00016"></a>00016 <span class="comment"> *</span>
<a name="l00017"></a>00017 <span class="comment"> * You should have received a copy of the GNU General Public License</span>
<a name="l00018"></a>00018 <span class="comment"> * along with Jamming. If not, see &lt;http://www.gnu.org/licenses/&gt;.</span>
<a name="l00019"></a>00019 <span class="comment"> */</span>
<a name="l00020"></a>00020 <span class="preprocessor">#include&lt;cstring&gt;</span>
<a name="l00021"></a>00021 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00022"></a>00022 <span class="preprocessor">#include &lt;stdarg.h&gt;</span>
<a name="l00023"></a>00023 <span class="preprocessor">#include &lt;exception&gt;</span>
<a name="l00024"></a>00024 
<a name="l00025"></a>00025 <span class="keyword">namespace </span>geo
<a name="l00026"></a>00026 {
<a name="l00027"></a>00027 <span class="comment">/*class point*/</span>
<a name="l00028"></a>00028 <span class="comment">//exception</span>
<a name="l00029"></a><a class="code" href="classgeo_1_1NegativeOrZeroDimension.html">00029</a> <span class="keyword">class </span><a class="code" href="classgeo_1_1NegativeOrZeroDimension.html">NegativeOrZeroDimension</a> : <span class="keyword">public</span> std::exception {};
<a name="l00030"></a>00030 
<a name="l00031"></a>00031 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim, <span class="keyword">class</span> _coorType=<span class="keywordtype">int</span>&gt;
<a name="l00032"></a><a class="code" href="classgeo_1_1point.html">00032</a> <span class="keyword">class </span><a class="code" href="classgeo_1_1point.html">point</a> {
<a name="l00033"></a>00033         _coorType coor[nDim];
<a name="l00034"></a>00034     <span class="keyword">public</span>:
<a name="l00035"></a>00035         <a class="code" href="classgeo_1_1point.html">point</a>(){
<a name="l00036"></a>00036             <span class="keywordflow">if</span>(nDim&lt;=0) <span class="keywordflow">throw</span> <a class="code" href="classgeo_1_1NegativeOrZeroDimension.html">NegativeOrZeroDimension</a>();
<a name="l00037"></a>00037             memset(coor,_coorType(),<span class="keyword">sizeof</span>(coor));
<a name="l00038"></a>00038         };
<a name="l00039"></a>00039         <a class="code" href="classgeo_1_1point.html">point</a>(_coorType x,...) {
<a name="l00040"></a>00040             va_list args;
<a name="l00041"></a>00041             va_start(args,x);
<a name="l00042"></a>00042             coor[0]=x;
<a name="l00043"></a>00043             <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=1;i&lt;nDim;i++) coor[i]=va_arg(args,_coorType);
<a name="l00044"></a>00044             va_end( args );
<a name="l00045"></a>00045         };
<a name="l00046"></a>00046         <a class="code" href="classgeo_1_1point.html">point</a>(_coorType* x) {
<a name="l00047"></a>00047             memcpy(coor,x,nDim*<span class="keyword">sizeof</span>(_coorType));
<a name="l00048"></a>00048         }        
<a name="l00049"></a>00049         <span class="comment">//TODO implement range initializer </span>
<a name="l00050"></a>00050 
<a name="l00051"></a>00051            <span class="comment">//operators</span>
<a name="l00052"></a>00052         <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; operator +=(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; p) {
<a name="l00053"></a>00053             <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim;i++) coor[i]+=p.coor[i];
<a name="l00054"></a>00054             <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00055"></a>00055         }
<a name="l00056"></a>00056         <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; operator -=(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; p) {
<a name="l00057"></a>00057             <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim;i++) coor[i]-=p.coor[i];
<a name="l00058"></a>00058             <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00059"></a>00059         }
<a name="l00060"></a>00060         <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; operator *=(<span class="keyword">const</span> _coorType&amp; v) {
<a name="l00061"></a>00061             <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim;i++) coor[i]*=v;
<a name="l00062"></a>00062             <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00063"></a>00063         }
<a name="l00064"></a>00064         <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; operator /=(<span class="keyword">const</span> _coorType&amp; v) {
<a name="l00065"></a>00065             <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim;i++) coor[i]/=v;
<a name="l00066"></a>00066             <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00067"></a>00067         }
<a name="l00068"></a>00068         <span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a> operator +(<a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; p2) {
<a name="l00069"></a>00069             <span class="keywordflow">return</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a> (*this)+=p2;
<a name="l00070"></a>00070          }
<a name="l00071"></a>00071         <span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a> operator -(<a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a>&amp; p2) {
<a name="l00072"></a>00072             <span class="keywordflow">return</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a> (*this)-=p2;
<a name="l00073"></a>00073          }
<a name="l00074"></a>00074         <span class="comment">//friend operators</span>
<a name="l00075"></a>00075         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00076"></a>00076         <span class="keyword">friend</span> <span class="keywordtype">bool</span> operator!= (<a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p1,<a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p2);
<a name="l00077"></a>00077         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00078"></a>00078         <span class="keyword">friend</span> <span class="keywordtype">bool</span> operator== (<a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p1,<a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p2);
<a name="l00079"></a>00079         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00080"></a>00080         <span class="keyword">friend</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> operator* (<span class="keyword">const</span> _coorType_&amp; s,<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; v);
<a name="l00081"></a>00081         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00082"></a>00082         <span class="keyword">friend</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> operator* (<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; v,<span class="keyword">const</span> _coorType_&amp; s);
<a name="l00083"></a>00083         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00084"></a>00084         <span class="keyword">friend</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> operator/ (<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; v,<span class="keyword">const</span> _coorType_&amp; s);
<a name="l00085"></a>00085         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00086"></a>00086         <span class="keyword">friend</span> std::ostream&amp; operator &lt;&lt;(std::ostream&amp; out,const point&lt;nDim_,_coorType_&gt;&amp; p);
<a name="l00087"></a>00087         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00088"></a>00088         <span class="keyword">friend</span> std::istream&amp; operator &gt;&gt;(std::istream&amp; in,<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p);
<a name="l00089"></a>00089         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00090"></a>00090         <span class="keyword">friend</span> _coorType_ dist(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p1,<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p2);
<a name="l00091"></a>00091         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00092"></a>00092         <span class="keyword">friend</span> _coorType_ operator*(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p1,<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>&amp; p2);
<a name="l00093"></a>00093         <span class="comment">//TODO normal to at least n-1 n-dimension vectors.</span>
<a name="l00094"></a>00094         <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00095"></a>00095         <span class="keyword">friend</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_, _coorType_&gt;</a> normal(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>* pFirst,<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>* pEnd);
<a name="l00096"></a>00096 <span class="preprocessor">    #define __point__type point&lt;nDim_,_coorType_&gt;</span>
<a name="l00097"></a>00097 <span class="preprocessor"></span>    <span class="comment">//try use specification for nDim=2,3.</span>
<a name="l00098"></a>00098     <span class="comment">//try use array </span>
<a name="l00099"></a>00099     <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00100"></a>00100     <span class="keyword">friend</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> normal(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> p1,...);
<a name="l00101"></a>00101     <span class="keywordtype">bool</span> leftof(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a> p1,...) {
<a name="l00102"></a>00102         <span class="keywordflow">return</span> ( normal(p1)*(*<span class="keyword">this</span>)&gt;0); 
<a name="l00103"></a>00103     }
<a name="l00104"></a>00104     <span class="keywordtype">bool</span> on(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim,_coorType&gt;</a> p1,...) {
<a name="l00105"></a>00105         <span class="keywordflow">return</span> ( normal(p1)*(*<span class="keyword">this</span>)==0); 
<a name="l00106"></a>00106     }
<a name="l00107"></a>00107 }; <span class="comment">// end of point</span>
<a name="l00108"></a>00108 <span class="comment">// Operation on point </span>
<a name="l00109"></a>00109 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00110"></a>00110 <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> normal(<span class="keyword">const</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> p1,...) {
<a name="l00111"></a>00111             va_list args;
<a name="l00112"></a>00112             va_start(args,p1);
<a name="l00113"></a>00113             <span class="keywordflow">if</span>(nDim_==2) <span class="keywordflow">return</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>(-p1.coor[1],p1.coor[0]);
<a name="l00114"></a>00114             <span class="keywordflow">if</span>(nDim_==3) {
<a name="l00115"></a>00115                 <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a> p2=va_arg(args,__point__type);
<a name="l00116"></a>00116                 <span class="keywordflow">return</span> <a class="code" href="classgeo_1_1point.html">point&lt;nDim_,_coorType_&gt;</a>(p1.coor[1]*p2.coor[2]-p1.coor[2]*p2.coor[1],\
<a name="l00117"></a>00117                                               p1.coor[2]*p2.coor[0]-p1.coor[0]*p2.coor[2],\
<a name="l00118"></a>00118                                               p1.coor[0]*p2.coor[1]-p1.coor[1]*p2.coor[0]\
<a name="l00119"></a>00119                                              );
<a name="l00120"></a>00120             }
<a name="l00121"></a>00121             <span class="comment">//for(size_t i=1;i&lt;nDim;i++) coor[i]=va_arg(args,_coorType);</span>
<a name="l00122"></a>00122             va_end( args );
<a name="l00123"></a>00123             <span class="keywordflow">return</span> p1;
<a name="l00124"></a>00124 };
<a name="l00125"></a>00125 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00126"></a>00126 <span class="keywordtype">bool</span> operator== (point&lt;nDim_,_coorType_&gt;&amp; p1,point&lt;nDim_,_coorType_&gt;&amp; p2) {
<a name="l00127"></a>00127         <span class="keywordtype">bool</span> y=<span class="keyword">true</span>;
<a name="l00128"></a>00128         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) y&amp;=(p1.coor[i]==p2.coor[i]);
<a name="l00129"></a>00129         <span class="keywordflow">return</span> y;
<a name="l00130"></a>00130 };
<a name="l00131"></a>00131 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00132"></a>00132 <span class="keywordtype">bool</span> operator!= (point&lt;nDim_,_coorType_&gt;&amp; p1,point&lt;nDim_,_coorType_&gt;&amp; p2) {
<a name="l00133"></a>00133         <span class="keywordtype">bool</span> y=<span class="keyword">false</span>;
<a name="l00134"></a>00134         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) y|=(p1.coor[i]!=p2.coor[i]);
<a name="l00135"></a>00135         <span class="keywordflow">return</span> y;
<a name="l00136"></a>00136 };
<a name="l00137"></a>00137 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00138"></a>00138 point&lt;nDim_,_coorType_&gt; operator* (<span class="keyword">const</span> _coorType_&amp; s,<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; v) {
<a name="l00139"></a>00139         _coorType_ newcoor[nDim_];
<a name="l00140"></a>00140         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) newcoor[i]=v.coor[i]*s;
<a name="l00141"></a>00141         <span class="keywordflow">return</span> point&lt;nDim_,_coorType_&gt;(newcoor);
<a name="l00142"></a>00142 }
<a name="l00143"></a>00143 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00144"></a>00144 point&lt;nDim_,_coorType_&gt; operator* (<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; v,<span class="keyword">const</span> _coorType_&amp; s) {
<a name="l00145"></a>00145         _coorType_ newcoor[nDim_];
<a name="l00146"></a>00146         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) newcoor[i]=v.coor[i]*s;
<a name="l00147"></a>00147         <span class="keywordflow">return</span> point&lt;nDim_,_coorType_&gt;(newcoor);
<a name="l00148"></a>00148 }
<a name="l00149"></a>00149 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00150"></a>00150 _coorType_ operator*(<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; p1,<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; p2) {
<a name="l00151"></a>00151         _coorType_ product=p1.coor[0]*p2.coor[0];
<a name="l00152"></a>00152         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=1;i&lt;nDim_;i++) product*=p1.coor[i]*p2.coor[i];
<a name="l00153"></a>00153         <span class="keywordflow">return</span> product;
<a name="l00154"></a>00154 }
<a name="l00155"></a>00155 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00156"></a>00156 point&lt;nDim_,_coorType_&gt; operator/ (<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; v,<span class="keyword">const</span> _coorType_&amp; s) {
<a name="l00157"></a>00157         _coorType_ newcoor[nDim_];
<a name="l00158"></a>00158         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) newcoor[i]=v.coor[i]/s;
<a name="l00159"></a>00159         <span class="keywordflow">return</span> point&lt;nDim_,_coorType_&gt;(newcoor);
<a name="l00160"></a>00160 }
<a name="l00161"></a>00161 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00162"></a>00162 std::ostream&amp; operator &lt;&lt;(std::ostream&amp; out,const point&lt;nDim_,_coorType_&gt;&amp; p) {
<a name="l00163"></a>00163          <span class="keywordflow">if</span>(nDim_==1) out&lt;&lt;p.coor[nDim_];
<a name="l00164"></a>00164          <span class="keywordflow">else</span> {
<a name="l00165"></a>00165              out&lt;&lt;<span class="stringliteral">&quot;(&quot;</span>;
<a name="l00166"></a>00166             <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_-1;i++) out&lt;&lt;p.coor[i]&lt;&lt;<span class="stringliteral">&quot;,&quot;</span>;
<a name="l00167"></a>00167             <span class="keywordflow">if</span>(nDim_&gt;1) out&lt;&lt;p.coor[nDim_-1]&lt;&lt;<span class="stringliteral">&quot;)&quot;</span>;
<a name="l00168"></a>00168          }
<a name="l00169"></a>00169          <span class="keywordflow">return</span>  out;
<a name="l00170"></a>00170 };
<a name="l00171"></a>00171 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00172"></a>00172 std::istream&amp; operator &gt;&gt;(std::istream&amp; in,<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; p) {
<a name="l00173"></a>00173          <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) in&gt;&gt;p.coor[i];
<a name="l00174"></a>00174          <span class="keywordflow">return</span>  in;
<a name="l00175"></a>00175 };
<a name="l00176"></a>00176 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00177"></a>00177 _coorType_ dist(<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; p1,<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;&amp; p2) {
<a name="l00178"></a>00178         _coorType_ sum=_coorType_();
<a name="l00179"></a>00179         <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0;i&lt;nDim_;i++) sum+=(p1.coor[i]-p2.coor[i])*(p1.coor[i]-p2.coor[i]);
<a name="l00180"></a>00180         <span class="keywordflow">return</span> sum;
<a name="l00181"></a>00181     };
<a name="l00182"></a>00182 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim_, <span class="keyword">class</span> _coorType_&gt;
<a name="l00183"></a>00183 point&lt;nDim_, _coorType_&gt; normal(<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;* pFirst,<span class="keyword">const</span> point&lt;nDim_,_coorType_&gt;* pEnd){
<a name="l00184"></a>00184 };
<a name="l00185"></a>00185 
<a name="l00189"></a>00189 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim, <span class="keyword">class</span> _coorType=<span class="keywordtype">int</span>&gt;
<a name="l00190"></a>00190 <span class="keyword">class </span>line {
<a name="l00191"></a>00191     point&lt;nDim,_coorType&gt; begin,end;
<a name="l00192"></a>00192     <span class="keyword">public</span>:
<a name="l00193"></a>00193     line(point&lt;nDim,_coorType&gt; begin,point&lt;nDim,_coorType&gt; end) : begin(begin),end(end) {};
<a name="l00194"></a>00194     <span class="comment">//set up dx/dt,dy/dt,...</span>
<a name="l00195"></a>00195     <span class="keywordtype">void</span> equation(_coorType par,...) {
<a name="l00196"></a>00196     }
<a name="l00197"></a>00197     point&lt;nDim,_coorType&gt;&amp; origin() {
<a name="l00198"></a>00198         <span class="keywordflow">return</span> begin;
<a name="l00199"></a>00199     };
<a name="l00200"></a>00200     point&lt;nDim,_coorType&gt; direction() {
<a name="l00201"></a>00201         <span class="keywordflow">return</span> end-begin;
<a name="l00202"></a>00202     }
<a name="l00203"></a>00203     <span class="comment">//operators</span>
<a name="l00204"></a>00204     
<a name="l00205"></a>00205     <span class="comment">//friend operator </span>
<a name="l00206"></a>00206     <span class="keyword">friend</span> std::ostream&amp; operator &lt;&lt;(std::ostream&amp; out,const line&lt;nDim,_coorType&gt;&amp; l) {
<a name="l00207"></a>00207         out&lt;&lt;l.begin&lt;&lt;<span class="stringliteral">&quot;-&gt;&quot;</span>&lt;&lt;l.end;
<a name="l00208"></a>00208         <span class="keywordflow">return</span> out;
<a name="l00209"></a>00209     }
<a name="l00210"></a>00210     <span class="keyword">friend</span> _coorType crossproduct(<span class="keyword">const</span> line&lt;nDim,_coorType&gt;&amp; l1,<span class="keyword">const</span> line&lt;nDim,_coorType&gt;&amp; l2) {
<a name="l00211"></a>00211         <span class="keywordflow">return</span> crossproduct(l1.end-l1.begin,l2.end-l2.begin);
<a name="l00212"></a>00212     };
<a name="l00213"></a>00213 }; <span class="comment">// end of line </span>
<a name="l00214"></a>00214 
<a name="l00215"></a>00215 <span class="comment">/*</span>
<a name="l00216"></a>00216 <span class="comment">* Point Set : implement with kd-tree</span>
<a name="l00217"></a>00217 <span class="comment">*/</span>
<a name="l00218"></a><a class="code" href="classgeo_1_1point__set.html">00218</a> <span class="keyword">class </span><a class="code" href="classgeo_1_1point__set.html">point_set</a> {};
<a name="l00219"></a>00219 
<a name="l00220"></a>00220 <span class="comment">/*</span>
<a name="l00221"></a>00221 <span class="comment">* point space </span>
<a name="l00222"></a>00222 <span class="comment">*/</span>    
<a name="l00223"></a>00223 <span class="keyword">template</span>&lt; <span class="keywordtype">size_t</span> nDim, <span class="keyword">class</span> _coorType=<span class="keywordtype">int</span>&gt;
<a name="l00224"></a><a class="code" href="classgeo_1_1space.html">00224</a> <span class="keyword">class </span><a class="code" href="classgeo_1_1space.html">space</a> {
<a name="l00225"></a>00225 };
<a name="l00227"></a>00227 <span class="comment">//class line</span>
<a name="l00228"></a>00228 <span class="comment">//{</span>
<a name="l00229"></a>00229 <span class="comment">//    private:</span>
<a name="l00230"></a>00230 <span class="comment">//        /* data */</span>
<a name="l00231"></a>00231 <span class="comment">//    point&lt;nDim,_coorType&gt;&amp; _beginTer,_endTer;</span>
<a name="l00232"></a>00232 <span class="comment">//    public:</span>
<a name="l00233"></a>00233 <span class="comment">//        line (point&lt;nDim,_coorType&gt;&amp; p1,point&lt;nDim,_coorType&gt;&amp; p2) {</span>
<a name="l00234"></a>00234 <span class="comment">//            _beginTer=p1;</span>
<a name="l00235"></a>00235 <span class="comment">//            _endTer=p2;</span>
<a name="l00236"></a>00236 <span class="comment">//        };</span>
<a name="l00237"></a>00237 <span class="comment">//        equation(_coorType par,...) {</span>
<a name="l00238"></a>00238 <span class="comment">//            //TODO set the equation of x=a_x*t+x_0, ...</span>
<a name="l00239"></a>00239 <span class="comment">//            // 1&lt;-P_0, 2&lt;- length of t, 3&lt;-dX/dt...</span>
<a name="l00240"></a>00240 <span class="comment">//            for(_coorType* ptr=&amp;x+1,size_t i=0;i&lt;2*nDim;ptr-=2,i+=2) coor[i]=*ptr;</span>
<a name="l00241"></a>00241 <span class="comment">//        }</span>
<a name="l00242"></a>00242 <span class="comment">//        length();</span>
<a name="l00243"></a>00243 <span class="comment">//        </span>
<a name="l00244"></a>00244 <span class="comment">//        virtual ~line ();</span>
<a name="l00245"></a>00245 <span class="comment">//        </span>
<a name="l00246"></a>00246 <span class="comment">//}; //end of line</span>
<a name="l00248"></a>00248 <span class="comment"></span><span class="comment">//point intersect(line l1,line l2);</span>
<a name="l00249"></a>00249 <span class="comment">//point parallel(line l1,line l2);</span>
<a name="l00250"></a>00250 
<a name="l00251"></a>00251 
<a name="l00255"></a>00255 <span class="comment">//bool point::on(line l);</span>
<a name="l00257"></a>00257 <span class="comment"></span><span class="comment">//point::in(line l); </span>
<a name="l00258"></a>00258 <span class="comment">//point::above(line l);</span>
<a name="l00259"></a>00259 <span class="comment">//point::below(line l);</span>
<a name="l00261"></a>00261 <span class="comment"></span>
<a name="l00262"></a>00262 
<a name="l00263"></a>00263 
<a name="l00264"></a>00264 
<a name="l00266"></a>00266 <span class="comment">//class polygon</span>
<a name="l00267"></a>00267 <span class="comment">//{</span>
<a name="l00268"></a>00268 <span class="comment">//    private:</span>
<a name="l00269"></a>00269 <span class="comment">//        </span>
<a name="l00270"></a>00270 <span class="comment">//        </span>
<a name="l00271"></a>00271 <span class="comment">//    public:</span>
<a name="l00272"></a>00272 <span class="comment">//        polygon ();</span>
<a name="l00273"></a>00273 <span class="comment">//        virtual ~polygon ();</span>
<a name="l00274"></a>00274 <span class="comment">//}; //end of polygon</span>
<a name="l00276"></a>00276 <span class="comment"></span>
<a name="l00277"></a>00277 
<a name="l00279"></a>00279 <span class="comment">//*  a geometric shape defined by equation. </span>
<a name="l00280"></a>00280 <span class="comment">//*/</span>
<a name="l00281"></a>00281 <span class="comment">//class shape</span>
<a name="l00282"></a>00282 <span class="comment">//{</span>
<a name="l00283"></a>00283 <span class="comment">//    private:</span>
<a name="l00284"></a>00284 <span class="comment">//        </span>
<a name="l00285"></a>00285 
<a name="l00286"></a>00286 <span class="comment">//    public:</span>
<a name="l00287"></a>00287 <span class="comment">//        shape (arguments);</span>
<a name="l00288"></a>00288 <span class="comment">//        virtual ~shape ();</span>
<a name="l00289"></a>00289 <span class="comment">//}; //end of shape</span>
<a name="l00291"></a>00291 <span class="comment"></span>
<a name="l00292"></a>00292 
<a name="l00293"></a>00293 
<a name="l00294"></a>00294 }; <span class="comment">/* Geo */</span>
<a name="l00295"></a>00295 
<a name="l00296"></a>00296 
<a name="l00297"></a>00297 
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